Symmetry breaking via Morse index for equations and systems of Hénon–Schrödinger type

[1]  T. Weth,et al.  Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation , 2019, Discrete & Continuous Dynamical Systems - A.

[2]  A. L. Amadori,et al.  On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II , 2018, Nonlinear Analysis: Real World Applications.

[3]  F. Pacella,et al.  Morse index of radial nodal solutions of Henon type equations in dimension two , 2015, 1503.02999.

[4]  N. Soave,et al.  New existence and symmetry results for least energy positive solutions of Schr\"odinger systems with mixed competition and cooperation terms , 2014, 1412.4336.

[5]  Tai-Chia Lin,et al.  On Phase-Separation Models: Asymptotics and Qualitative Properties , 2013 .

[6]  Lucio Damascelli,et al.  Symmetry Results for Cooperative Elliptic Systems via Linearization , 2012, SIAM J. Math. Anal..

[7]  Edward Norman Dancer,et al.  The limit equation for the Gross–Pitaevskii equations and S. Terraciniʼs conjecture , 2012 .

[8]  E. N. Dancer,et al.  Dynamics of strongly competing systems with many species , 2012 .

[9]  T. Weth,et al.  Existence and symmetry results for competing variational systems , 2012, 1201.5206.

[10]  Edward Norman Dancer,et al.  Uniform Hölder estimate for singularly perturbed parabolic systems of Bose–Einstein condensates and competing species , 2011 .

[11]  E. N. Dancer,et al.  A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system , 2010 .

[12]  B. Ruf,et al.  Radial and non radial solutions for Hardy–Hénon type elliptic systems , 2010 .

[13]  W. Rother.  A Nonlinear Dirichlet Problem on the Unit Ball , 2009 .

[14]  S. Terracini,et al.  Multipulse Phases in k-Mixtures of Bose–Einstein Condensates , 2008, 0807.1979.

[15]  Jean Van Schaftingen,et al.  Symmetry of solutions of semilinear elliptic problems , 2008 .

[16]  P. Polácik,et al.  Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems , 2007 .

[17]  Antonio Ambrosetti,et al.  Standing waves of some coupled nonlinear Schrödinger equations , 2007 .

[18]  F. Pacella,et al.  Symmetry of solutions to semilinear elliptic equations via Morse index , 2007 .

[19]  Zhi-Qiang Wang,et al.  On the Hénon equation : asymptotic profile of ground states, I , 2006 .

[20]  Tobias Weth,et al.  Partial symmetry of least energy nodal solutions to some variational problems , 2005 .

[21]  Zhi-Qiang Wang,et al.  On the Hénon equation: Asymptotic profile of ground states, II , 2005 .

[22]  M. Willem,et al.  Partial symmetry and asymptotic behavior for some elliptic variational problems , 2003 .

[23]  D. Cao,et al.  The asymptotic behaviour of the ground state solutions for Hénon equation , 2003 .

[24]  M. Willem,et al.  NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION , 2002 .

[25]  W. Troy.  Symmetry properties in systems of semilinear elliptic equations , 1981 .

[26]  M. Hénon.  Numerical Experiments on the Stability of Spherical Stellar Systems , 1973 .

[27]  M. Ramos,et al.  Ground state and non-ground state solutions of some strongly coupled elliptic systems , 2012 .

[28]  M. Wood.  People's Republic of China. , 1979, The Alumni magazine.